Reactions controlled by enhanced diffusion: Deterministic and stochastic approaches

G. Zumofen*, J. Klafter, M. F. Shlesinger

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We study the transient A + B → 0 reaction at stoichiometric conditions in dimensions d = 1, 2, and 3. The particles are assumed to follow enhanced diffusion resulting from Lévy walks characterized by the index 1 < γ ≤ 2. Particle density decays and particle-particle correlation functions are calculated using deterministic reaction diffusion equations and a stochastic model based on random walks. In particular we concentrate on the breakdown of the Ovchinnikov-Zeldovich segregation phenomenon. Segregation is shown to disappear in d = 3 dimensions under enhanced diffusion conditions for γ < 3/2. The erosion of the segregation is an example of Lévy mixing.

Original languageEnglish
Pages (from-to)89-98
Number of pages10
JournalChemical Physics
Issue number1 SPEC. ISSUE
StatePublished - 15 Nov 1996


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